224311252000 has 144 divisors (see below), whose sum is σ = 605791846296. Its totient is φ = 81567552000.

The previous prime is 224311251991. The next prime is 224311252001. The reversal of 224311252000 is 252113422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15758283024 + 208552968976 = 125532^2 + 456676^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (224311252001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252274 + ... + 715726.

Almost surely, 2^224311252000 is an apocalyptic number.

224311252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224311252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302895923148).

224311252000 is an abundant number, since it is smaller than the sum of its proper divisors (381480594296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224311252000 is a wasteful number, since it uses less digits than its factorization.

224311252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463500 (or 463471 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 224311252000 its reverse (252113422), we get a palindrome (224563365422).

The spelling of 224311252000 in words is "two hundred twenty-four billion, three hundred eleven million, two hundred fifty-two thousand".